# PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2015

PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2015

Q.01 __________________

A.   0

B.   Divergent

C.   -4

D.   4

C
View Explanation

Q.02  The period of function  is

A.

B.

C.

D.

D
View Explanation

As sint and cost are periodic function with period 2π
So
Sinwt=sin(wt+2π)=sin(t+2π/w). Similarly for cost .
Hence period of given function if 2π/w
===> D is correct

Q.03 is irrotational if a,b,c are__________

A.   4,-3,5

B.   4,5,-3

C.   -3,4,5

D.   2,3,5

D
View Explanation

Flow is irrational if

Q.04   is solenoidal if a = ________

A.   1

B.   2

C.   3

4.   4

C
View Explanation

For solenoidal vector  .V=0
After applying partial derivative we get
-4+1+a=0
So a=3
C is correct

Q.05    along the path

A.   56

B.   60

C.   62

D.  64

B
View Explanation

We know that

As the solution is exact. So we have

Q.06 If S is the closed surface and v is the volume enclosed by S then
A. v
B.  2v
C.  3v
D.  4v

C
View Explanation

By Gauss Divergence Theorem

As position vector

So

Q.07 Centrifugal acceleration is

A.

B.
C.
D.

A
View Explanation

As

Q.08  Number of degrees of freedom of two particles connected by a rigid rod moving treely in a plane Is

A. 2
B.  3
C.  4
D.  5

C
View Explanation

No. of degree of freedom= No. of particles × 2

= 2  ×  2  =   4

Q.09  The centrold of a uniform semicircular wire of radius a is

A.

B.

C.

D.

A
View Explanation

In processd

Q.10  Moment of inertia of a rectangular plate with sides a,b about an axis perpendicular to plate and passing through vertix is

A.

B.

C.

D.

1. Muhammad Imran ghallo says: